The statistical kinematical theory of X-ray diffraction as applied to reciprocal-space mapping

Nesterets, Yakov; Пунегов, В. И.

doi:10.1107/s010876730000996x

Cited by 40 publications

(23 citation statements)

References 19 publications

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“…The two expressions differ in that Eqn (3) contains the correlation volume instead of the correlation length [37,38,40]: This formula coincides with the expression for incoherent scattering intensity from onedimensionally deformed crystals in a double-axial recording scheme [31±33].…”

Section: Triple-axis X-ray Diffractometrymentioning

confidence: 62%

“…is described by the intrinsic correlation function [28,38] gr; q exp Â ih À dur q À dur ÁÃ À f 2 r 1 À f 2 r : 5 The type of defects (shape, size, elastic strains, etc.)…”

Section: Triple-axis X-ray Diffractometrymentioning

confidence: 99%

“…An analytic expression for the intrinsic correlation function has been derived for certain defect models in Refs [38,39,47,48]. Considering diffuse scattering in the framework of triple-axis diffractometry implies integrating (4) over q y .…”

Section: Triple-axis X-ray Diffractometrymentioning

confidence: 99%

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High-resolution X-ray diffraction in crystalline structures with quantum dots

Пунегов¹

2015

Phys.-Usp.

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We review the current status of nondestructive highresolution X-ray diffractometry research on semiconductor structures with quantum dots (QDs). The formalism of the statistical theory of diffraction is used to consider the coherent and diffuse X-ray scattering in crystalline systems with nanoinclusions. Effects of the shape, elastic strain, and lateral and vertical QD correlation on the diffuse scattering angular distribution near the reciprocal lattice nodes are considered. Using short-period and multicomponent superlattices as an example, we demonstrate the efficiency of data-assisted simulations in the quantitative analysis of nanostructured materials. Contents 1. Introduction. Methods of research on structures with quantum dots 419 2. High-resolution X-ray diffraction 420 2.1 Triple-axis X-ray diffractometry; 2.2 Statistical theory of X-ray diffraction. Coherent and diffuse scattering; 2.3 Direct and inverse X-ray diffraction problems 3. X-ray diffraction in structured media 423 3.1 Multilayer quantum dots; 3.2 Semiconductor structures with self-organized quantum dots; 3.3 Diffraction on 3D periodic quantum dot arrays 4. Influence of the quantum dot shape, size, and elastic strain on X-ray diffuse scattering 426 4.1 Diffuse scattering from epitaxial structures with quantum dots of different shapes; 4.2 Spheroidal quantum dots 5. Spatial correlations in the arrangement of quantum dots 432 5.1 Lateral correlation of quantum dots. Short-range order; 5.2 Vertical correlation of quantum dots 6. Quantitative X-ray diffraction analysis of heterostructures with quantum dots 437 6.1 Short-period superlattices with quantum dots; 6.2 Multicomponent heterostructures with quantum dots 7. Conclusion 443 References 443 Physics ± Uspekhi 58 (5) 419 ± 445 (2015) # 2015 Uspekhi Fizicheskikh Nauk, Russian Academy of Sciences V I Punegov Physics ± Uspekhi 58 (5) V I Punegov Physics ± Uspekhi 58 (5) V I Punegov Physics ± Uspekhi 58 (5)

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Section: Triple-axis X-ray Diffractometrymentioning

confidence: 62%

“…is described by the intrinsic correlation function [28,38] gr; q exp Â ih À dur q À dur ÁÃ À f 2 r 1 À f 2 r : 5 The type of defects (shape, size, elastic strains, etc.)…”

Section: Triple-axis X-ray Diffractometrymentioning

confidence: 99%

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High-resolution X-ray diffraction in crystalline structures with quantum dots

Пунегов¹

2015

Phys.-Usp.

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show abstract

“…¥Îâ ÐÇÍÑÕÑÓÞØ ÏÑAEÇÎÇÌ AEÇ×ÇÍÕÑÄ ÂÐÂÎËÕËÚÇÔÍÑÇ ÄÞÓÂÉÇÐËÇ ÔÑÃÔÕÄÇÐÐÑÌ ÍÑÓÓÇÎâÙËÑÐÐÑÌ ×ÖÐÍÙËË ÒÑÎÖ-ÚÇÐÑ Ä [38,39,47,48]. ²ÂÔÔÏÑÕÓÇÐËÇ AEË××ÖÊÐÑÅÑ ÓÂÔÔÇâ-ÐËâ Ä ÓÂÏÍÂØ ÕÓÈØÑÔÇÄÑÌ AEË×ÓÂÍÕÑÏÇÕÓËË ÕÓÇÃÖÇÕ ËÐÕÇ-ÅÓËÓÑÄÂÐËâ (4) ÒÑ ÒÇÓÇÏÇÐÐÑÌ q y .…”

Section: ³õâõëôõëúçôíââ õçñóëâ óçðõåçðñäôíñì Aeë×óâíùëëunclassified

“…²ÂÔÔÏÑÕÓÇÐËÇ AEË××ÖÊÐÑÅÑ ÓÂÔÔÇâ-ÐËâ Ä ÓÂÏÍÂØ ÕÓÈØÑÔÇÄÑÌ AEË×ÓÂÍÕÑÏÇÕÓËË ÕÓÇÃÖÇÕ ËÐÕÇ-ÅÓËÓÑÄÂÐËâ (4) ÒÑ ÒÇÓÇÏÇÐÐÑÌ q y . £ ÓÇÊÖÎßÕÂÕÇ ÍÑÓÓÇÎâ-ÙËÑÐÐÞÌ ÑÃÝÈÏ ÕÓÂÐÔ×ÑÓÏËÓÖÇÕÔâ Ä ÍÑÓÓÇÎâÙËÑÐÐÖá ÒÎÑÜÂAEß trY q x Y q z I ÀI dq y trY q [38,39]. £ ÔÎÖÚÂÇ ÑAEÐÑÓÑAEÐÑ ÓÂÔÒÓÇAEÇÎÈÐÐÞØ AEÇ×ÇÍÕÑÄ ÓÇÛÇÐËÇ AEÎâ ÍÑÓ-ÓÇÎâÙËÑÐÐÑÅÑ ÑÃÝÈÏÂ ÏÑÉÇÕ ÃÞÕß ÒÓÇAEÔÕÂÄÎÇÐÑ Ä ËÐÑÌ ×ÑÓÏÇ.…”

Section: ³õâõëôõëúçôíââ õçñóëâ óçðõåçðñäôíñì Aeë×óâíùëëunclassified